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The lattice of ideals of a polynomial semiring
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The lattice of ideals of a polynomial semiring

Francisco Alarcón and D. D Anderson
Algebra universalis, Vol.31(1), pp.147-149
03/1994
DOI: 10.1007/BF01188186

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Abstract

We show that for a semiringR, the following statements are equivalent: (1)R is a ring, (2) every left ideal ofR[X], the semiring of polynomials overR, is subtractive, (3) the lattice of left ideals ofR[X] is modular.

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